SOLUTION: The hypotenuse of an isosceles right triangle is 2 cm longer than either of its legs. Note that an isosceles right triangle is a right triangle whose legs are the same length. Find

Algebra ->  Triangles -> SOLUTION: The hypotenuse of an isosceles right triangle is 2 cm longer than either of its legs. Note that an isosceles right triangle is a right triangle whose legs are the same length. Find      Log On


   



Question 1185018: The hypotenuse of an isosceles right triangle is 2 cm longer than either of its legs. Note that an isosceles right triangle is a right triangle whose legs are the same length. Find the exact length of its legs and its hypotenuse.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


c^2=a^2+b^2

%28x%2B2%29%5E2=x%5E2%2Bx%5E2
x%5E2%2B4x%2B4=2x%5E2
x%5E2-4x-4=0

The quadratic does not factor; use the quadratic formula to solve for x; obviously you want to pick the positive solution.

Then the leg lengths are x and the hypotenuse length is x*sqrt(2).